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math.AT2024
Bistellar Cluster Algebras and Piecewise Linear Invariants
Alastair Darby, Fang Li, Zhi Lu
Inspired by the ideas and techniques used in the study of cluster algebras we construct a new class of algebras, called bistellar cluster algebras, from closed oriented triangulate…
math.AT2018★ 5 cited
Equivariant cohomology of torus orbifolds
Alastair Darby, Shintaro Kuroki, Jongbaek Song
We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin…
math.AT2014
Torus Manifolds in Equivariant Complex Bordism
Alastair Darby
We restrict geometric tangential equivariant complex -bordism to torus manifolds and provide a complete combinatorial description of the appropriate non-commutative ring. We d…